Nonlinear vibration characteristics of a dual-rotor system with inter-shaft bearing
GAO Peng1 HOU Lei1, 2 CHEN Yu-shu1
1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;
2. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
Abstract:Here, a simplified dynamic model for a dual-rotor system with inter-shaft bearing in aero-engine was established considering fraction exponent type nonlinearity of inter-shaft bearing, radial clearance and parametric excitations etc.nonlinear factors as well as dual-frequency unbalance excitations of the dual-rotor system.Nonlinear vibration responses of the system are solved using the numerical integration method.Their characteristics and effects of eccentricity, rotating speed ratio, bearing stiffness, roller number and radial clearance of the inter-shaft bearing on them were studied.The results showed that vibration jump and bi-stable phenomena are observed when rotating speed passing through the first critical speed of the system; decrease in rotor eccentricity can effectively reduce corresponding resonance peak values and suppress vibration jump behavior, but the rotating speed interval for bi-stable state is widened; increase in the rotating speed ratio of higher pressure rotor and lower pressure one can cause the distance between two resonance peaks to be enlarged, but the ratio of two rotating speeds corresponding to two resonant peaks is approximately equal to the former; increasing inter-shaft bearing’s stiffness or roller number, or decreasing its radial clearance can cause the rotating speed interval for bi-stable state to be narrowed; these results are helpful for understanding nonlinear characteristics of inter-shaft bearing and their effects on nonlinear vibration features of the dual-rotor system, and can provide a certain theoretical guidance for improving the operation stability of aero-engine rotor systems.
[1] 陈予恕,张华彪. 航空发动机整机动力学研究进展与展望[J]. 航空学报,2011,32(8):1371-1391.
Chen Yu-shu,Zhang Hua-biao. Review and prospect on the research of dynamics of complete aero-engine systems[J]. Acta Aeronautica et Astronautica Sinica,2011,32(8): 1371-1391.
[2] 廖明夫,刘永泉,王四季,等. 中介轴承对双转子振动的影响[J]. 机械科学与技术,2013,32(5): 641-646.
Liao Ming-fu,Liu Yong-quan,Wang Si-ji,et al. The vibration features of a twin spool rotor system with an inter-bearing [J]. Mechanical Science and Technology for Aerospace Engineering,2013,32(5): 641-646.
[3] 周海仑,陈果. 航空发动机双转子-滚动轴承-机匣耦合系统动力学分析[J]. 航空动力学报,2009,24(6): 1284-1291.
Zhou Hai-lun,Chen Guo. Dynamic response analysis of dual rotor-ball bearing-stator coupling system for aero-engine [J]. Journal of Aerospace Power,2009,24(6): 1284-1291.
[4] 陈果. 双转子航空发动机整机振动建模与分析[J]. 振动工程学报,2011,24(6): 619-632.
Chen Guo. Vibration modeling and analysis for dual-rotor aero-engine [J]. Journal of Vibration Engineering,2011,24(6): 619-632.
[5] 邓四二,贺凤祥,杨海生,等. 航空发动机双转子-滚动轴承耦合系统的动力特性分析[J]. 航空动力学报,2010,25(10): 2386-2395.
Deng Si-er,He Feng-xiang,Yang Hai-sheng,et al. Analysis on dynamic characteristics of a dual rotor-rolling bearing coupling system for aero-engine [J]. Journal of Aerospace Power,2010,25(10): 2386-2395.
[6] Hu Qing-hua,Deng Si-er,Teng Hong-fei. A 5-dof model for aeroengine spindle dual-rotor system analysis [J]. Chinese Journal of Aeronautics,2011,24(2): 224-234.
[7] 罗贵火,胡绚,杨喜关. 反向旋转双转子系统非线性分析[J]. 振动工程学报,2009,22(3): 268-273.
Luo Gui-huo,Hu Xuan,Yang Xi-guan. Nonlinear dynamic performance analysis of counter-rotating dual-rotor system [J]. Journal of Vibration Engineering,2009,22(3): 268-273.
[8] 罗贵火,周海仑,王飞,等. 含滚动轴承的同向和反向旋转双转子系统动力学响应[J]. 航空动力学报,2012,27(8): 1887-1894.
Luo Gui-huo,Zhou Hai-lun,Wang Fei,et al. Dynamic response of co-rotating and counter-rotating dual-rotor system supported on ball bearing [J]. Journal of Aerospace Power,2012,27(8): 1887-1894.
[9] Ferraris G,Maisonneuve V,Lalanne M.Prediction of the dynamic behavior of non-symmetric coaxial co- or counter-rotating rotors [J]. Journal of Sound and Vibration,1996,195(4): 649-666.
[10] 符毅强,陈予恕,侯磊,等. 反向旋转双转子系统滞后特性分析[J]. 振动与冲击,2015,34(15): 23-27.
Fu Yi-qiang,Chen Yu-shu,Hou Lei,et al. A counter-rotating dual-rotor system's hysteretic characteristics [J]. Journal of Vibration and Shock,2015,34(15): 23-27.
[11] 孙传宗,陈予恕,侯磊. 复杂结构双转子系统的建模及模型缩减[J]. 航空动力学报,2017,32(7): 1747-1753.
Sun Chuan-zong,Chen Yu-shu,Hou Lei. Modeling method and reduction of dual-rotor system with complicated structures [J]. Journal of Aerospace Power,2017,32(7): 1747-1753.
[12] 路振勇,侯磊,孙传宗,等. 六点支承航空发动机双转子系统动力学离散模型[J]. 中国科学: 技术科学,2016,46(11): 1185-1192.
Lu Zhen-yong,Hou Lei,Sun Chuan-zong,et al. Discrete dynamical model for the dual-rotor systems with six supports of the aero-engine [J]. Scientia Sinica: Technologica,2016,46(11): 1185-1192.
[13] 路振勇,陈予恕,李洪亮,等. 航空发动机转子系统动力学模型的可逆化简化方法[J]. 航空动力学报,2016,31(1): 57-64.
Lu Zhen-yong,Chen Yu-shu,Li Hong-liang,et al. Reversible model-simplifying method for aero-engine rotor systems [J]. Journal of Aerospace Power,2016,31(1): 57-64.
[14] Hou Lei,Chen Yu-shu,Fu Yi-qiang,et al. Application of the HB–AFT method to the primary resonance analysis of a dual-rotor system [J]. Nonlinear Dynamics,2017,88(4): 2531-2551.
[15] 宋兆泓. 航空发动机典型故障分析[M]. 北京:北京航空航天大学出版社,1993: 207-215.
[16] Sun Chuang-zong,Chen Yu-shu,Hou Lei. Steady-state response characteristics of a dual-rotor system induced by rub-impact [J]. Nonlinear Dynamics,2016,86(1): 91-105.
[17] 陈会征. 挤压油膜阻尼器-滚动轴承-转子系统非线性动力学研究[D]. 哈尔滨:哈尔滨工业大学,2017.
Chen Hui-zheng. Study on nonlinear dynamics of squeeze film damper-rolling bearing-rotor systems[D]. Harbin: Harbin Institute of Technology,2017.
[18] 韩军,高德平,胡绚,等. 航空发动机双转子系统的拍振分析[J]. 航空学报,2007,28(6): 1369-1373.
Han Jun,Gao De-ping,Hu Xuan,et al. Research on beat vibration of dual-rotor for aero-engine [J]. Acta Aeronautica et Astronautica Sinica,2007,28(6): 1369-1373.
[19] 张大义,刘烨辉,梁智超,等. 航空发动机双转子系统临界转速求解方法[J]. 推进技术,2015,36(2):292-298.
Zhang Da-yi,Liu Ye-hui,Liang Zhi-chao,et al. Prediction for critical speed of double spools system in aero engines [J]. Journal of Propulsion Technology,2015,36(2):292-298.
[20] 邓四二,付金辉,王燕霜,等. 航空发动机滚动轴承-双转子系统动态特性分析[J]. 航空动力学报,2013,28(1):195-204.
Deng Si-er,Fu Jin-hui,Wang Yan-shuang,et al. Analysis on dynamic characteristics of aero-engine rolling bearing dual-rotor system [J]. Journal of Aerospace Power,2013,28(1):195-204.
[21] 胡清华,邓四二,滕弘飞. 考虑轴承游隙的非线性动力学轴承-转子系统优化[J]. 航空动力学报,2011,26(9): 2154-2160.
Hu Qing-hua,Deng Si-er,Teng Hong-fei. Optimization of rotor-bearing system with nonlinear dynamics considering internal clearance [J]. Journal of Aerospace Power,2011,26(9): 2154-2160.